Pith Number

pith:BHPHEXSU

pith:2015:BHPHEXSUR5YK6R6KFMH7T7OMFU

not attested not anchored not stored refs pending

Maximal Decay Inequalities for Trilinear oscillatory integrals of convolution type

Lechao Xiao, Philip T. Gressman

arxiv:1511.05233 v1 · 2015-11-17 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHPHEXSUR5YK6R6KFMH7T7OMFU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:26:49.701548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09de725e548f70af47ca2b0ff9fdcc2d38fe72d37ab4c43ef06e7b8d01ce64e5

Aliases

arxiv: 1511.05233 · arxiv_version: 1511.05233v1 · doi: 10.48550/arxiv.1511.05233 · pith_short_12: BHPHEXSUR5YK · pith_short_16: BHPHEXSUR5YK6R6K · pith_short_8: BHPHEXSU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BHPHEXSUR5YK6R6KFMH7T7OMFU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09de725e548f70af47ca2b0ff9fdcc2d38fe72d37ab4c43ef06e7b8d01ce64e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f7de837838fad3372faa09af39911cba3e1d38dcf9b007c7fc854cc4010b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-17T00:35:01Z",
    "title_canon_sha256": "60f2a7e027e550c5da15b32a83322c51365d71bef9ed207538f466c9700fc785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05233",
    "kind": "arxiv",
    "version": 1
  }
}